Number of elements in a set

Algebra Level 2

If \(A, B\) and \(C\) are three sets such that

\[\begin{array} & \lvert A \rvert=25, & \lvert B \rvert=20, & \lvert C \rvert=27,\\ \lvert A\cap B \rvert=5, & \lvert B\cap C \rvert=7, & A\cap C=\emptyset. \end{array},\]

what is \( \lvert A \cup B \cup C \rvert ?\)

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